The Table statement as you've written it (ignoring the syntax problem) suggests that you want i <= j <= k. If so, the table can be written in a couple of ways, equivalent except for order:
one=Table[a[i]+a[j]+a[k],{i,1,3},{j,i,3},{k,j,3}]//Flatten
two=Table[a[i]+a[j]+a[k],{k,1,3},{j,1,k},{i,1,j}]//Flatten
Sort@one==Sort@two
{3 a[1],2 a[1]+a[2],2 a[1]+a[3],a[1]+2 a[2],a[1]+a[2]+a[3],a[1]+2 a[3],3
a[2],2 a[2]+a[3],a[2]+2 a[3],3 a[3]}
{3 a[1],2 a[1]+a[2],a[1]+2 a[2],3 a[2],2 a[1]+a[3],a[1]+a[2]+a[3],2 a[2]+a[3],
a[1]+2 a[3],a[2]+2 a[3],3 a[3]}
True
If you wanted i < j < k, the table is either of these:
one=Table[a[i]+a[j]+a[k],{i,1,3},{j,i+1,3},{k,j+1,3}]//Flatten
two=Table[a[i]+a[j]+a[k],{k,1,3},{j,1,k-1},{i,1,j-1}]//Flatten
Sort@one==Sort@two
{a[1]+a[2]+a[3]}
{a[1]+a[2]+a[3]}
True
(That's a hard way to do it, of course.)
Bobby
On Tue, 23 Nov 2004 02:12:46 -0500 (EST), Robert G. Wilson v <rgwv at rgwv.com> wrote:
> Hello,
>
> I am having a problem with iterators in Mathematica.
>
> I have a sequence of integers defined by a[n]. I wish to build a table
> of integers out of the above such that this table only contains integers of
> the form a(i)+a(j)+a(k).
>
> I tried Table[a[i] + a[j] + a[k], {k, 1, 3}, {j, i, k}, {i, 1, j}] but
> the iterators do not have appropriate bounds.
>
> Any help would be greatly appreciated.
>
> Sincerely,
>
> Bob.
>
>
>
>
--
DrBob at bigfoot.com
www.eclecticdreams.net